Suppose F(t) has the derivative f(t) shown below, and F(0) -1 2 1 -1 -2 F(1) = F(9) = 2 3 5 6 7 8 o = 1. Find values for F(1) and F(9)
Suppose F(t) has the derivative f(t) shown below, and F(0) -1 2 1 -1 -2 F(1) = F(9) = 2 3 5 6 7 8 o = 1. Find values for F(1) and F(9)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
M9
![Suppose \( F(t) \) has the derivative \( f(t) \) shown below, and \( F(0) = 1 \). Find values for \( F(1) \) and \( F(9) \).
**Graph Explanation:**
- The graph displays the function \( f(t) \), which is the derivative of \( F(t) \).
- The x-axis ranges from 0 to 9, and the y-axis ranges from -3 to 3.
- Between \( t = 0 \) and \( t = 1 \), the graph descends linearly from 0 to -2.
- From \( t = 1 \) to \( t = 2 \), it ascends linearly from -2 to 1.
- From \( t = 2 \) to \( t = 3 \), it rises linearly from 1 to 3.
- From \( t = 3 \) to \( t = 9 \), it remains constant at 3.
**Calculation:**
Given that \( F(0) = 1 \), the goal is to find \( F(1) \) and \( F(9) \).
\[
F(1) =
\]
\[
F(9) =
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1a84e4f-15fd-454d-ae7f-e3c4cf2939e6%2F7f43328b-2d08-45a5-9cec-36b7cd897316%2F5x3qan6_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose \( F(t) \) has the derivative \( f(t) \) shown below, and \( F(0) = 1 \). Find values for \( F(1) \) and \( F(9) \).
**Graph Explanation:**
- The graph displays the function \( f(t) \), which is the derivative of \( F(t) \).
- The x-axis ranges from 0 to 9, and the y-axis ranges from -3 to 3.
- Between \( t = 0 \) and \( t = 1 \), the graph descends linearly from 0 to -2.
- From \( t = 1 \) to \( t = 2 \), it ascends linearly from -2 to 1.
- From \( t = 2 \) to \( t = 3 \), it rises linearly from 1 to 3.
- From \( t = 3 \) to \( t = 9 \), it remains constant at 3.
**Calculation:**
Given that \( F(0) = 1 \), the goal is to find \( F(1) \) and \( F(9) \).
\[
F(1) =
\]
\[
F(9) =
\]
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